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10210310431 = 596713119717
BaseRepresentation
bin10011000001001010…
…01111100100011111
3222100120111111210121
421200211033210133
5131402314413211
64405054215411
7511010130616
oct114045174437
928316444717
1010210310431
11436a4aa392
121b8b4b4567
13c69444709
146cc06a87d
153eb5a2271
hex26094f91f

10210310431 has 16 divisors (see below), whose sum is σ = 10619326080. Its totient is φ = 9811470240.

The previous prime is 10210310417. The next prime is 10210310437. The reversal of 10210310431 is 13401301201.

10210310431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10210310431 - 219 = 10209786143 is a prime.

It is a super-2 number, since 2×102103104312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210310437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 507985 + ... + 527701.

It is an arithmetic number, because the mean of its divisors is an integer number (663707880).

Almost surely, 210210310431 is an apocalyptic number.

10210310431 is a deficient number, since it is larger than the sum of its proper divisors (409015649).

10210310431 is a wasteful number, since it uses less digits than its factorization.

10210310431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19974.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10210310431 its reverse (13401301201), we get a palindrome (23611611632).

The spelling of 10210310431 in words is "ten billion, two hundred ten million, three hundred ten thousand, four hundred thirty-one".

Divisors: 1 59 67 131 3953 7729 8777 19717 517843 1163303 1321039 2582927 77941301 152392693 173056109 10210310431